The equation Upper E equals StartFraction 1 Over 2 pi epsilon Subscript 0 EndFraction StartFraction q d Over z Superscript 3 E
1 answer:
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Answer:
A
B
C
D
Explanation:
Considering the first question
From the question we are told that
The spring constant is
The potential energy is
Generally the potential energy stored in spring is mathematically represented as
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=>
=>
Considering the second question
From the question we are told that
The mass of the dart is m = 0.050 kg
Generally from the law of energy conservation
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=>
Considering the third question
The height at which the dart was fired horizontally is
Generally from the law of energy conservation
Here KE is kinetic energy of the dart which is mathematical represented as
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=>
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Considering the fourth question
Generally the total time of flight of the dart is mathematically represented as
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=>
Generally the horizontal distance from the equilibrium position to the ground is mathematically represented as
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=>
Answer:
The efficiency of the system is 63.7 %
Explanation:
Given;
input power of the motor, = 1.5 kW = 1,500 W
mass of the car lifted, m = 1300 kg
height through which the car was lifted, h = 1.8 m
time, t = 24 s
The output power of the motor is calculated as;
Output Power = F x v
= (mg) x (d/t)
= (1300 x 9.8) x (1.8 / 24)
= 12,740 x 0.075
= 955.5 W
The efficiency of the system is calculated as;
The correct answer is 63.7%